Verified Solution • 2025–26 Session moderate

QNEET-2018-Ph-875: NEET 2018 Physics - Class 12 NEET-2018-Ph-875 Solution: A metallic rod of mass per unit length \(0.5\ {kg m}^{-1}\) is…

A metallic rod of mass per unit length 0.5 kg m−10.5\ \text{kg m}^{-1} is lying horizontally on a smooth inclined plane which makes an angle of 30∘30^\circ with the horizontal. The rod is not allowed to slide down by flowing a current through it when a magnetic field of induction 0.25 T is acting on it in the vertical direction. The current flowing in the rod to keep it stationary is 7.14 A 5.98 A 14.76 A 11.32 A

Multiple Choice Options

  • A 7.14 A
  • B 5.98 A
  • C 14.76 A
  • D 11.32 A

Step-by-Step Verified Solution

Given Mass per unit length of a metallic rod is m l = 0.5 kg m -1 From figure, for equilibrium mg sin 30 o = I l B cos 30 o _ I = m g l B tan _ 30 _ = 0.5 _ 9.8 0.25 _ 3 = 11.32 A

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